Geometry Syllabus

COURSE TITLE: Geometry CODE: MAG401 TEXT: College and Carer Ready – Modules GRADE LEVEL: 8-12	David Glasgow Farragut

ChaMajor Concepts/Content: This Geometry course by design shows a view of mathematics as it relates to the physical structure of our environment. It is composed of a mixture of theory and applications that best serve to illustrate the fundamental relationship between the logic that drives geometric principles. The major areas of study are the development of the analytic plane, nature of polygons, transformation in shape, fundamentals of a triangle, formulas for measurement, and the theory of congruency and similarity. Since most of the students are planning on attending college, the geometric content that relates to the SAT will be stressed.

Common Core: The focus of Common Core is the student understanding of complex mathematical concepts. It is this connection of mathematical formulas and theories to real-life application and reasoning that drives the curriculum. Its goal is to transcend the prior limited academic study of mathematics and prepare students for the real-life experience of mathematics as described by “College and Career Readiness.”Standards:  The curriculum for geometry aligns with the College and Career Readiness Standards for Mathematics which may be viewed on the DoDEA’s website.  http://www.dodea.edu/Curriculum/Mathematics/upload/ccrsm_geometry_standards_9-12_april_2017_v1.pdf

Major Instructional Activities: Instructional activities include teaching students to plan, organize, and complete various activities using as many real-world models as possible . This course involves inductive reasoning, extended projects, classroom presentations by students, open-ended investigations, and written justification by students of the solution to the problems. Cooperative learning techniques and appropriate technology should be utilized throughout the course. Students will  have access to graphing calculators as needed.

Major Evaluative Techniques: Many evaluative processes will be used to assess student’s written and oral work.  These include but are not limited to multiple-choice, short-answer, discussion, or open-ended questions; homework; projects; and class presentations. Students will also be required to successfully complete written tests, which present problems with a range of difficulty based upon expectations for the course.  Testing formats will include restricted time tests, and take-home tests.  Assessment methods can be supplemented by student-produced analysis of problem situations, solutions to problems, and reports on investigation.  Students will be provided the opportunity to do chapter projects that capture the concepts and skills presented throughout the chapter unit that emphasizes real world situations.

SAT Review:  Students will be presented with SAT review problems to help prepare them for college placement.

Essential Expectations: Upon successful completion of Semester II in Geometry, the student should be deal with problems relating to the following:

Module II – Similarity, Proof, and Trigonometry

• Theorems and relationships of Similar Triangles
• Simplifying, Multiplying and Dividing Radicals
• Adding and Diving Radicals
• The Pythagorean Theorem
• Introduction to Trigonometry
• Real-World problems involving Trigonometry
• Trigonometry and Area
• Solving Triangles with Trigonmetry
• Law of Sines and cosines

Module III – Expanding to Three Dimensions

• Nature of Area
• Area of Polygons
• Area of Circle and Disk
• Three Dimensional Space
• Surface Area of Prisms and Pyramids
• Surface Area of Cylinders and Cones
• Nature of Volume
• Volume of Prisms and Pyramids
• Volume of  Cylinders and Cones
• Volume of Spheres

Module IV – Connecting Algebra and Geometry

• Nature of Planes
• Equations of Lines
• Systems of Inequalities
• Distance Formula
• Perpendicular and Parallel Lines
• Perimeter and Area in a Cartesian Plane
• Proportional Line Segments
• Distance from a Point to a Line

Module V – Circles with and Without Coordinates

• Central and Inscribed Angles
• Thales Theorem
• Chords and Diameters
• Inscribed Polygons in Circles
• Arcs and Sectors
• Arc Measure and Arc Length
• Area of Sectors

Being Successful : There will be at least one quiz given each week in addition to approximately two tests per quarter. If students do poorly on a quiz, they can request a second attempt to obtain a passing grade. The primary goal is to do whatever can be done to enable the student to achieve success.

Grading Policy: 90-100: A;  80-89: B; 70-79: C;  60-69: D;  59 or below: F. The lowest grade given for a failing “attempted” assignment is 50%.

Make-Up Tests: Students are encouraged to take a make-up during seminar for any quiz/test where they received a poor grade.

Materials: Students are expected to bring appropriate materials to each class.  They will need a three-ring binder to maintain their course materials. Students should also have their own compass and protractor. Obviously, math students should always have a pencil ready.  🙂

Note Taking: One piece of preparing for high school and college is to take appropriate notes in class. Rare is the student who takes well organized notes who is unsuccessful in class.  Parents are encouraged to periodically check their child’s notebook for organization and neatness.

Weight: Generally homework will only count only about 5 to 10 percent of your grade, classwork about 10 to 20 percent, and tests will make up the following about 75 percent.

Homework Policy: Late homework will only be accepted with a valid and substantial excuse from home.

Tardy Policy:  This is a very rigorous course in mathematics, and students are required to be in class, on time and prepared to learn.  Students will be marked tardy if they arrive to class without their textbook, notebook, or pencil.

Basic Rules:  Very simply, be attentive and be courteous. Feel free to hold me to the same standard.  Me as a high school teacher and you as a math student,  know what is acceptable and not acceptable in a classroom.  Let’s have a good year.

Tutoring / Extra Help: All students are encouraged to schedule time for extra help during their seminar period.

GradeSpeed: This is a web-based program that enables parents and students to log-in to view grade and attendance data for the student. Both parents and students are encouraged to monitor the student’s academic progress often. Parents must register at: dodea.gradespeed.net to establish a personal GradeSpeed access account.

Showing Your Work: As with any math class today, a correct answer is not the sole end in the grading process. The process in math is important. There could be many valid ways to arrive at a solution, yet showing your method is critical to your answer gaining full credit. Therefore – Show your work…

Contact: If there is an issue or concern, parents are encouraged to email me. Harold.levie@eu.dodea.edu

Finally, the Ultimate  Goal: